Why not usa.gov or something similar? From a geographical standpoint, America refers to the entire landmass of the Western Hemisphere, which is made up of North America and South America.
You would have a point if it were called "america.com". But ".gov" is reserved for the US government, so it would be redundant for such domains to specify "USA" in their name.
Though I do wish it were called chat.gov or america-ai.gov or something else actually descriptive of what it is
Because it isn't america.geography, it's america.gov, and everyone who isn't playing dumb knows exactly what government that refers to.
Not to mention the only context you ever hear people using America to refer to both South and North American continents is people complaining that it should be only used in this way.
Ah yes, American Exceptionalism. USA is the best and that's why they reserve the right to the word America. And also to Greenland. And Cuba. Probably Venezuela. Middle-east. Hmm...